Cascading synchronized chaotic systems

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.

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.

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.

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.

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.

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.

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.

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.

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.