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US5379346A Expired / Lapsed US ⏱️ 0.0 years remaining

Cascading synchronized chaotic systems

Assignee: United States Department of the Navy
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Filing: 1993-09-30
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Granted: 1995-01-03
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Expires: 2013-09-30
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Abstract

Abstract A cascaded synchronized nonlinear system includes a nonlinear transmitter having stable first and second subparts. The first subpart produces a first transmitter signal for driving the second subpart and the second subpart produces a second transmitter signal for driving the first subpart. The nonlinear transmitter transmits the second transmitter signal to a nonlinear cascaded receiver. The receiver, being for producing an output signal in synchronization with the second transmitter signal, includes a first stage (a duplicate of the first subpart) responsive to the second transmitter signal for producing a first receiver signal. The receiver further includes a second stage (a duplicate of the second subpart) responsive to the first receiver signal for producing the output signal. The cascaded synchronized nonlinear system can be used in an information transfer system. The transmitter, responsive to an information signal produces a drive signal for transmission to the receiver. An error detector compares the drive signal and the output signal produced by the receiver to produce an error signal indicative of the information contained in the information signal.

Inventors

  • 👤 Louis M. Pecora
  • 👤 Thomas L. Carroll

Bibliographic Details

Application Number —
Jurisdiction US
Data Source google_patents
Last Synchronized 2026-11-03 23:29
CPC Classifications
G; G06; G06F; G06F17/00; G06F17/10; G06G; G06G7/00; G06G7/12; G06G7/26; H; H03; H03B; H03B29/00; H04; H04L; H04L27/00; H04L27/001; H03B21/00; H03B21/01; H03B21/02; H03B5/00; H03B5/20

Claims Analysis

Total Claims: 47
Claim 1
Independent Claim 142 words
A cascaded synchronized nonlinear electrical system comprising: (a) a nonlinear transmitter having stable first and second subparts, said first subpart producing a first transmitter signal for driving said second subpart, said second subpart producing a second transmitter signal for driving said first subpart, said nonlinear transmitter being for transmission of said second transmitter signal; and (b) a nonlinear cascaded receiver responsive to said second transmitter signal transmitted by said transmitter, said receiver being for producing an output signal in synchronization with said second transmitter signal, said receiver comprising a first stage responsive to said second transmitter signal for producing a first receiver signal, said first stage being a duplicate of said first subpart, and said receiver further comprising a second stage responsive to said first receiver signal for producing said output signal, said second stage being a duplicate of said second subpart.
Claim 2
Dependent Claim 142 words
A cascaded synchronized nonlinear electrical system comprising: (a) a nonlinear transmitter having stable first and second subparts, said first subpart producing a first transmitter signal for driving said second subpart, said second subpart producing a second transmitter signal for driving said first subpart, said nonlinear transmitter being for transmission of said second transmitter signal; and (b) a nonlinear cascaded receiver responsive to said second transmitter signal transmitted by said transmitter, said receiver being for producing an output signal in synchronization with said second transmitter signal, said receiver comprising a first stage responsive to said second transmitter signal for producing a first receiver signal, said first stage being a duplicate of said first subpart, and said receiver further comprising a second stage responsive to said first receiver signal for producing said output signal, said second stage being a duplicate of said second subpart.
Claim 3
Dependent Claim 21 words
The system of claim 1 wherein said first stage produces said first receiver signal in synchronization with said first transmitter signal.
Claim 4
Dependent Claim 12 words
The system of claim 1 wherein said transmitter comprises a non-Lorenz system.
Claim 5
Dependent Claim 12 words
The system of claim 3 wherein said transmitter comprises a non-Chua circuit.
Claim 6
Dependent Claim 12 words
The system of claim 1 wherein said transmitter comprises a non-Chua circuit.
Claim 7
Dependent Claim 45 words
The system of claim 1, wherein at least part of said first subpart of element (a) is external to said second subpart of element (a), and at least part of said second subpart of element (a) is external to said first subpart of element (a).
Claim 8
Dependent Claim 171 words
An electrical information transfer system comprising: (a) a nonlinear transmitter responsive to an information signal for producing a drive signal, said transmitter having stable first and second subparts, said first subpart producing a first transmitter signal for driving said second subpart, said second subpart producing a second transmitter signal for driving said first subpart, said nonlinear transmitter being responsive to said second transmitter signal for transmission of said drive signal; and (b) a nonlinear cascaded receiver responsive to said drive signal, said receiver comprising a first stage responsive to said drive signal for producing a first receiver signal, said first stage being a duplicate of said first subpart, and said receiver further comprising a second stage responsive to said first receiver signal for producing an output signal, said second stage being a duplicate of said second subpart; and (c) an error detector coupled to said receiver being responsive to said drive signal and to said output signal for producing an error signal indicative of the information contained in said information signal.
Claim 9
Dependent Claim 171 words
An electrical information transfer system comprising: (a) a nonlinear transmitter responsive to an information signal for producing a drive signal, said transmitter having stable first and second subparts, said first subpart producing a first transmitter signal for driving said second subpart, said second subpart producing a second transmitter signal for driving said first subpart, said nonlinear transmitter being responsive to said second transmitter signal for transmission of said drive signal; and (b) a nonlinear cascaded receiver responsive to said drive signal, said receiver comprising a first stage responsive to said drive signal for producing a first receiver signal, said first stage being a duplicate of said first subpart, and said receiver further comprising a second stage responsive to said first receiver signal for producing an output signal, said second stage being a duplicate of said second subpart; and (c) an error detector coupled to said receiver being responsive to said drive signal and to said output signal for producing an error signal indicative of the information contained in said information signal.
Claim 10
Dependent Claim 12 words
The system of claim 7 wherein said transmitter comprises a non-Lorenz system.
Claim 11
Dependent Claim 12 words
The system of claim 8 wherein said transmitter comprises a non-Chua circuit.
Claim 12
Dependent Claim 12 words
The system of claim 7 wherein said transmitter comprises a non-Chua circuit.
Claim 13
Dependent Claim 27 words
The system of claim 7 wherein said transmitter comprises a modulator responsive to said second transmitter signal and to said information signal for producing said drive signal.
Claim 14
Dependent Claim 12 words
The system of claim 11 wherein said modulator is a nonlinear modulator.
Claim 15
Dependent Claim 24 words
The system of claim 7 wherein said transmitter further comprises means responsive to said information signal for varying the value of a transmitter parameter.
Claim 16
Dependent Claim 44 words
The system of claim 13 further comprising means responsive to said error signal for varying the value of a receiver parameter corresponding to said transmitter parameter so that the variation of said receiver parameter is in synchronization with the variation of said transmitter parameter.
Claim 17
Dependent Claim 99 words
A synchronized electrical system, comprising: a nonlinear dynamic drive system for producing a drive signal and transmitting the drive signal, the drive system having at least two stable subsystems; and a cascaded nonlinear driven system responsive to said drive system to receive the drive signal and comprising cascade connected subsystems of the driven system, said driven system subsystems being substantially duplicates of said at least two drive system subsystems, said at least two driven subsystems comprising a first subsystem responsive to the drive signal and a second subsystem for producing an output signal in synchronization with the drive signal.
Claim 18
Dependent Claim 99 words
A synchronized electrical system, comprising: a nonlinear dynamic drive system for producing a drive signal and transmitting the drive signal, the drive system having at least two stable subsystems; and a cascaded nonlinear driven system responsive to said drive system to receive the drive signal and comprising cascade connected subsystems of the driven system, said driven system subsystems being substantially duplicates of said at least two drive system subsystems, said at least two driven subsystems comprising a first subsystem responsive to the drive signal and a second subsystem for producing an output signal in synchronization with the drive signal.
Claim 19
Dependent Claim 26 words
A system as recited in claim 15, wherein said drive system produces a first signal to be synchronized and said driven system reproduces the first signal.
Claim 20
Dependent Claim 13 words
The system of claim 15, wherein said driven system comprises a non-Lorenz device.
Claim 21
Dependent Claim 130 words
A synchronized electrical system, comprising: a nonlinear dynamic drive system for producing a dynamic drive signal and having at least a first and a second interdependent and stable subsystem for producing a first signal to be synchronized; and a nonlinear dynamic driven system coupled to said drive system and receiving the drive signal, said driven system comprising: a first driven subsystem comprising a duplicate of said first subsystem of said drive system, said first driven subsystem being interdependent to synchronize and reproduce the first signal; and a second subsystem comprising a duplicate of said second subsystem of said drive system, said second driven subsystem being connected to the first driven subsystem and being responsive thereto to receive the reproduced signal and being interdependent to synchronize and reproduce the drive signal.
Claim 22
Dependent Claim 130 words
A synchronized electrical system, comprising: a nonlinear dynamic drive system for producing a dynamic drive signal and having at least a first and a second interdependent and stable subsystem for producing a first signal to be synchronized; and a nonlinear dynamic driven system coupled to said drive system and receiving the drive signal, said driven system comprising: a first driven subsystem comprising a duplicate of said first subsystem of said drive system, said first driven subsystem being interdependent to synchronize and reproduce the first signal; and a second subsystem comprising a duplicate of said second subsystem of said drive system, said second driven subsystem being connected to the first driven subsystem and being responsive thereto to receive the reproduced signal and being interdependent to synchronize and reproduce the drive signal.
Claim 23
Dependent Claim 22 words
The system of claim 18, further comprising a comparator for comparing the drive signal and the reproduced drive signal to confirm synchronization.
Claim 24
Independent Claim 135 words
A method of synchronizing, comprising the steps of: (a) electrically producing a drive value and a first value to be matched using a differential equation model: (b) broadcasting the drive value to a receiver; and (c) electrically producing in the receiver an output value and a receiver first value in synchronization with the drive value and the first value, respectively, by using the drive value received and at least a pair of stable differential equation model subsystems which are subsets of the equation model, wherein said pair of differential equation model subsystems includes at least one common variable, said pair of differential equation model subsystems comprising a first subsystem dependent on the drive value for producing the receiver first value and a second subsystem dependent on the receiver first value for producing the output value.
Claim 25
Independent Claim 135 words
A method of synchronizing, comprising the steps of: (a) electrically producing a drive value and a first value to be matched using a differential equation model: (b) broadcasting the drive value to a receiver; and (c) electrically producing in the receiver an output value and a receiver first value in synchronization with the drive value and the first value, respectively, by using the drive value received and at least a pair of stable differential equation model subsystems which are subsets of the equation model, wherein said pair of differential equation model subsystems includes at least one common variable, said pair of differential equation model subsystems comprising a first subsystem dependent on the drive value for producing the receiver first value and a second subsystem dependent on the receiver first value for producing the output value.
Claim 26
Dependent Claim 30 words
A method as recited in claim 20, further comprising comparing the drive value and the reproduced drive value to confirm matching of the first value and the reproduced first value.
Claim 27
Dependent Claim 91 words
An electrical information transfer system, comprising: a transmitter having at least two stable subsystems for producing a dynamic drive signal carrying an information signal; and a cascaded receiver coupled to said transmitter to receive the drive signal and comprising: cascade connected subsystems of the receiver, said receiver subsystems being substantially duplicates of said at least two transmitter subsystems for producing a reproduced signal comprising the drive signal with the information signal removed; and a combining circuit for combining the dynamic drive signal and the reproduced signal to reproduce the information signal.
Claim 28
Dependent Claim 91 words
An electrical information transfer system, comprising: a transmitter having at least two stable subsystems for producing a dynamic drive signal carrying an information signal; and a cascaded receiver coupled to said transmitter to receive the drive signal and comprising: cascade connected subsystems of the receiver, said receiver subsystems being substantially duplicates of said at least two transmitter subsystems for producing a reproduced signal comprising the drive signal with the information signal removed; and a combining circuit for combining the dynamic drive signal and the reproduced signal to reproduce the information signal.
Claim 29
Dependent Claim 13 words
The system of claim 22, wherein said combining circuit comprises a nonlinear device.
Claim 30
Dependent Claim 39 words
A system as recited in claim 22, wherein said transmitter comprises a drive system producing a drive signal and an adder combining the drive signal and the information signal to produce the dynamic drive signal carrying the information signal.
Claim 31
Dependent Claim 15 words
A system as recited in claim 22, wherein said combining circuit is an error detector.
Claim 32
Dependent Claim 37 words
The system of claim 22, wherein said transmitter comprises a drive system for producing a drive signal and a nonlinear combining circuit for combining the drive signal and the information signal to produce the dynamic drive signal.
Claim 33
Independent Claim 102 words
A method of transferring information, comprising the steps of: (a) electrically producing drive value using a differential equation model; (b) combining the drive value with an information value to produce a broadcast value; (c) broadcasting the broadcast value to a receiver; (d) electrically reproducing the drive value in the receiver from the broadcast value and at least a pair of stable differential equation model subsystems which includes subsets of the equation model, wherein said pair of differential equation model subsystems includes at least one common variable; and (e) combining the reproduced drive value with the broadcast value to reproduce the information value.
Claim 34
Independent Claim 102 words
A method of transferring information, comprising the steps of: (a) electrically producing drive value using a differential equation model; (b) combining the drive value with an information value to produce a broadcast value; (c) broadcasting the broadcast value to a receiver; (d) electrically reproducing the drive value in the receiver from the broadcast value and at least a pair of stable differential equation model subsystems which includes subsets of the equation model, wherein said pair of differential equation model subsystems includes at least one common variable; and (e) combining the reproduced drive value with the broadcast value to reproduce the information value.
Claim 35
Dependent Claim 32 words
A method as recited in claim 27, wherein step (b) comprises adding the drive value and the information value and step (e) comprises subtracting the reproduced drive value from the broadcast value.
Claim 36
Dependent Claim 106 words
An electrical information transfer system, comprising: a transmitter including a parameter and having at least two stable subsystems, said transmitter being for producing a dynamic drive signal carrying an information signal produced by parameter variations; and a cascaded receiver coupled to said transmitter to receive the drive signal and comprising: cascade connected subsystems of the receiver, said receiver subsystems being substantially duplicates of said at least two transmitter subsystems for producing a reproduced signal comprising the drive signal with the information signal removed; and a combining circuit combining the drive signal and the reproduced signal to produce a parameter difference signal indicating variations in the parameter.
Claim 37
Dependent Claim 106 words
An electrical information transfer system, comprising: a transmitter including a parameter and having at least two stable subsystems, said transmitter being for producing a dynamic drive signal carrying an information signal produced by parameter variations; and a cascaded receiver coupled to said transmitter to receive the drive signal and comprising: cascade connected subsystems of the receiver, said receiver subsystems being substantially duplicates of said at least two transmitter subsystems for producing a reproduced signal comprising the drive signal with the information signal removed; and a combining circuit combining the drive signal and the reproduced signal to produce a parameter difference signal indicating variations in the parameter.
Claim 38
Dependent Claim 14 words
A system as recited in claim 29, wherein the receiver includes a fixed parameter.
Claim 39
Dependent Claim 15 words
A system as recited in claim 30, wherein said combining circuit comprises an error detector.
Claim 40
Independent Claim 112 words
A method of information transfer, comprising the steps of: (a) electrically producing a drive value using a differential equation model with a varied equation parameter varied responsive to an information value; (b) broadcasting the drive value to a receiver; (c) electrically reproducing the drive value in the receiver from the broadcast drive value and at least a pair of stable differential equation model subsystems which are subsets of the equation model, wherein said pair of differential equation model subsystems includes at least one common variable with the parameter fixed; and (d) combining the reproduced drive value with the broadcast drive value to produce a parameter change value corresponding to the information value.
Claim 41
Independent Claim 112 words
A method of information transfer, comprising the steps of: (a) electrically producing a drive value using a differential equation model with a varied equation parameter varied responsive to an information value; (b) broadcasting the drive value to a receiver; (c) electrically reproducing the drive value in the receiver from the broadcast drive value and at least a pair of stable differential equation model subsystems which are subsets of the equation model, wherein said pair of differential equation model subsystems includes at least one common variable with the parameter fixed; and (d) combining the reproduced drive value with the broadcast drive value to produce a parameter change value corresponding to the information value.
Claim 42
Dependent Claim 28 words
A method as recited in claim 32, wherein step (a) comprises changing the parameter between two values and the parameter change value changes between a pair of values.
Claim 43
Dependent Claim 131 words
An electrical information transfer system, comprising: a transmitter including a parameter having at least two stable subsystems for producing a dynamic drive signal carrying an information signal produced by parameter variation; and a cascaded receiver coupled to said transmitter to receive the drive signal and comprising: cascade connected subsystems of the receiver, including the parameter said receiver subsystems being substantially duplicates of said at least two transmitter subsystems and being for producing a reproduced signal comprising the drive signal with the information signal removed; a combining circuit combining the drive signal and the reproduced signal to produce a parameter error signal; and a parameter change circuit changing the parameter of the receiver to match the parameter variation of said transmitter to reproduce the information signal responsive to the parameter error signal.
Claim 44
Dependent Claim 131 words
An electrical information transfer system, comprising: a transmitter including a parameter having at least two stable subsystems for producing a dynamic drive signal carrying an information signal produced by parameter variation; and a cascaded receiver coupled to said transmitter to receive the drive signal and comprising: cascade connected subsystems of the receiver, including the parameter said receiver subsystems being substantially duplicates of said at least two transmitter subsystems and being for producing a reproduced signal comprising the drive signal with the information signal removed; a combining circuit combining the drive signal and the reproduced signal to produce a parameter error signal; and a parameter change circuit changing the parameter of the receiver to match the parameter variation of said transmitter to reproduce the information signal responsive to the parameter error signal.
Claim 45
Dependent Claim 28 words
A system as recited in claim 34, wherein said combining circuit comprises an error detection circuit and said parameter change circuit performs stepwise matching of the parameter variation.
Claim 46
Independent Claim 120 words
A method of transferring information, comprising the steps of: (a) electrically producing a drive value using a source differential equation model with a varied equation parameter varied responsive to an information value; (b) broadcasting the drive value to a receiver; (c) electrically reproducing the drive value in the receiver from the broadcast value and at least a pair of stable differential equation model subsystems which are subsets of the equation model, wherein said pair of differential equation model subsystems includes at least one common variable and which includes the parameter; (d) combining the reproduced drive value with the broadcast value to produce a parameter error; and (e) changing the parameter of the differential equation subsystems responsive to the parameter error.
Claim 47
Independent Claim 120 words
A method of transferring information, comprising the steps of: (a) electrically producing a drive value using a source differential equation model with a varied equation parameter varied responsive to an information value; (b) broadcasting the drive value to a receiver; (c) electrically reproducing the drive value in the receiver from the broadcast value and at least a pair of stable differential equation model subsystems which are subsets of the equation model, wherein said pair of differential equation model subsystems includes at least one common variable and which includes the parameter; (d) combining the reproduced drive value with the broadcast value to produce a parameter error; and (e) changing the parameter of the differential equation subsystems responsive to the parameter error.

References Cited (Backward Citations)

US5007087A Cited
US5245660A Cited
US5291555A Cited

USPTO Annuity & Maintenance Windows

Annuity Stage Window Opens Payment Deadline Surcharge Period Until Estimated Fee Status
3.5 Years (Year 4) 1998-01-02 1998-07-04 1999-01-03 $2000.00 Window Closed / Lapsed
7.5 Years (Year 8) 2002-01-02 2002-07-04 2003-01-03 $3760.00 Window Closed / Lapsed
11.5 Years (Year 12) 2006-01-02 2006-07-04 2007-01-03 $7700.00 Window Closed / Lapsed

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