In-band disruption of practical nonlinear electronic systems via optimal forcing functions

P. D. Smith; S. M. Booker; E. D. Vinogradova; P. V. Brennan; R. Bullock

In-band disruption of practical nonlinear electronic systems via optimal forcing functions

P. D. Smith^*, S. M. Booker, E. D. Vinogradova, P. V. Brennan, R. Bullock

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

Abstract

Many nonlinear electronic systems are susceptible to chaos as a result of the break-up of a homoclinic orbit in the state space dynamics. We review a method by which input signals that are best possible at inducing complex dynamics, includ- ing chaos. These forcing functions are then used to investigate a practical problem relating to complex dynamics in a nonlinear system: how to achieve in- band disruption of a common nonlinear circuit, the phase-locked loop. This problem is chosen both for its intrinsic interest and as a motivational example of how such optimal forcing functions can be used to understand better complex dynamics in practi- cal nonlinear systems. Numerical and experimental results are reported for a prototypical circuit to val- idate our approach.

Original language	English
Title of host publication	ICEAA 2003 - International Conference on Electromagnetics in Advanced Applications
Editors	Roberto Graglia
Place of Publication	Torino
Publisher	Politecnico di Torino
Pages	405-408
Number of pages	4
ISBN (Electronic)	8882020088
ISBN (Print)	8882020096, 9788882020095
Publication status	Published - Sept 2003
Event	8th International Conference on Electromagnetics in Advanced Applications, ICEAA 2003 - Torino, Italy Duration: 8 Sept 2003 → 12 Sept 2003

Other

Other	8th International Conference on Electromagnetics in Advanced Applications, ICEAA 2003
Country/Territory	Italy
City	Torino
Period	8/09/03 → 12/09/03

Cite this

@inproceedings{65e14785afa04d4a97530abc22b1270d,

title = "In-band disruption of practical nonlinear electronic systems via optimal forcing functions",

abstract = "Many nonlinear electronic systems are susceptible to chaos as a result of the break-up of a homoclinic orbit in the state space dynamics. We review a method by which input signals that are best possible at inducing complex dynamics, includ- ing chaos. These forcing functions are then used to investigate a practical problem relating to complex dynamics in a nonlinear system: how to achieve in- band disruption of a common nonlinear circuit, the phase-locked loop. This problem is chosen both for its intrinsic interest and as a motivational example of how such optimal forcing functions can be used to understand better complex dynamics in practi- cal nonlinear systems. Numerical and experimental results are reported for a prototypical circuit to val- idate our approach.",

author = "Smith, \{P. D.\} and Booker, \{S. M.\} and Vinogradova, \{E. D.\} and Brennan, \{P. V.\} and R. Bullock",

year = "2003",

month = sep,

language = "English",

isbn = "8882020096",

pages = "405--408",

editor = "Roberto Graglia",

booktitle = "ICEAA 2003 - International Conference on Electromagnetics in Advanced Applications",

publisher = "Politecnico di Torino",

note = "8th International Conference on Electromagnetics in Advanced Applications, ICEAA 2003 ; Conference date: 08-09-2003 Through 12-09-2003",

}

Smith, PD, Booker, SM, Vinogradova, ED, Brennan, PV & Bullock, R 2003, In-band disruption of practical nonlinear electronic systems via optimal forcing functions. in R Graglia (ed.), ICEAA 2003 - International Conference on Electromagnetics in Advanced Applications. Politecnico di Torino, Torino, pp. 405-408, 8th International Conference on Electromagnetics in Advanced Applications, ICEAA 2003, Torino, Italy, 8/09/03.

In-band disruption of practical nonlinear electronic systems via optimal forcing functions. / Smith, P. D.; Booker, S. M.; Vinogradova, E. D. et al.
ICEAA 2003 - International Conference on Electromagnetics in Advanced Applications. ed. / Roberto Graglia. Torino: Politecnico di Torino, 2003. p. 405-408.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

TY - GEN

T1 - In-band disruption of practical nonlinear electronic systems via optimal forcing functions

AU - Smith, P. D.

AU - Booker, S. M.

AU - Vinogradova, E. D.

AU - Brennan, P. V.

AU - Bullock, R.

PY - 2003/9

Y1 - 2003/9

N2 - Many nonlinear electronic systems are susceptible to chaos as a result of the break-up of a homoclinic orbit in the state space dynamics. We review a method by which input signals that are best possible at inducing complex dynamics, includ- ing chaos. These forcing functions are then used to investigate a practical problem relating to complex dynamics in a nonlinear system: how to achieve in- band disruption of a common nonlinear circuit, the phase-locked loop. This problem is chosen both for its intrinsic interest and as a motivational example of how such optimal forcing functions can be used to understand better complex dynamics in practi- cal nonlinear systems. Numerical and experimental results are reported for a prototypical circuit to val- idate our approach.

AB - Many nonlinear electronic systems are susceptible to chaos as a result of the break-up of a homoclinic orbit in the state space dynamics. We review a method by which input signals that are best possible at inducing complex dynamics, includ- ing chaos. These forcing functions are then used to investigate a practical problem relating to complex dynamics in a nonlinear system: how to achieve in- band disruption of a common nonlinear circuit, the phase-locked loop. This problem is chosen both for its intrinsic interest and as a motivational example of how such optimal forcing functions can be used to understand better complex dynamics in practi- cal nonlinear systems. Numerical and experimental results are reported for a prototypical circuit to val- idate our approach.

UR - https://www.scopus.com/pages/publications/84875315051

M3 - Conference proceeding contribution

AN - SCOPUS:84875315051

SN - 8882020096

SN - 9788882020095

SP - 405

EP - 408

BT - ICEAA 2003 - International Conference on Electromagnetics in Advanced Applications

A2 - Graglia, Roberto

PB - Politecnico di Torino

CY - Torino

T2 - 8th International Conference on Electromagnetics in Advanced Applications, ICEAA 2003

Y2 - 8 September 2003 through 12 September 2003

ER -

In-band disruption of practical nonlinear electronic systems via optimal forcing functions

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