TY - GEN

T1 - Input-output Hamiltonian systems and neural signal processing

AU - Belabbas, M. A.

AU - Brockett, R. W.

PY - 2006/12/1

Y1 - 2006/12/1

N2 - Motivated by problems arising in neuroscience, we investigate properties of a class of nonlinear finite dimensional systems whose characteristic responses are pulselike traveling waves. With a view toward investigating their signal processing capabilities, we develop suitable input-output structures for these systems and show that they are, in fact, Hamiltonian relative to a suitable symplectic structure. The Hamiltonian structure provides a way to keep track of the energy flow and to study the effects of parasitic dissipation. In this framework, we develop an effective theory of interconnection, network structures, etc. This leads to a signal processing formalism in which the primary mode of communication is through pulses.

AB - Motivated by problems arising in neuroscience, we investigate properties of a class of nonlinear finite dimensional systems whose characteristic responses are pulselike traveling waves. With a view toward investigating their signal processing capabilities, we develop suitable input-output structures for these systems and show that they are, in fact, Hamiltonian relative to a suitable symplectic structure. The Hamiltonian structure provides a way to keep track of the energy flow and to study the effects of parasitic dissipation. In this framework, we develop an effective theory of interconnection, network structures, etc. This leads to a signal processing formalism in which the primary mode of communication is through pulses.

UR - http://www.scopus.com/inward/record.url?scp=39649099734&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=39649099734&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:39649099734

SN - 1424401712

SN - 9781424401710

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 3351

EP - 3356

BT - Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC

T2 - 45th IEEE Conference on Decision and Control 2006, CDC

Y2 - 13 December 2006 through 15 December 2006

ER -