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Energy-optimal steering of transitions through a fractal basin boundary.

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Energy-optimal steering of transitions through a fractal basin boundary. / Silchenko, A. N.; Beri, S.; Luchinsky, D. G. et al.
International Proceedings of Conference on Physics and Control, PHYSCON-2003. Vol. 2 New York: IEEE, 2004. p. 501-506.

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter

Harvard

Silchenko, AN, Beri, S, Luchinsky, DG & McClintock, PVE 2004, Energy-optimal steering of transitions through a fractal basin boundary. in International Proceedings of Conference on Physics and Control, PHYSCON-2003. vol. 2, IEEE, New York, pp. 501-506. <http://ieeexplore.ieee.org/xpls/abs_all.jsp?isnumber=27708&arnumber=1236885&count=64&index=24>

APA

Silchenko, A. N., Beri, S., Luchinsky, D. G., & McClintock, P. V. E. (2004). Energy-optimal steering of transitions through a fractal basin boundary. In International Proceedings of Conference on Physics and Control, PHYSCON-2003 (Vol. 2, pp. 501-506). IEEE. http://ieeexplore.ieee.org/xpls/abs_all.jsp?isnumber=27708&arnumber=1236885&count=64&index=24

Vancouver

Silchenko AN, Beri S, Luchinsky DG, McClintock PVE. Energy-optimal steering of transitions through a fractal basin boundary. In International Proceedings of Conference on Physics and Control, PHYSCON-2003. Vol. 2. New York: IEEE. 2004. p. 501-506

Author

Silchenko, A. N. ; Beri, S. ; Luchinsky, D. G. et al. / Energy-optimal steering of transitions through a fractal basin boundary. International Proceedings of Conference on Physics and Control, PHYSCON-2003. Vol. 2 New York : IEEE, 2004. pp. 501-506

Bibtex

@inbook{447fdcd18c96439b957a8c0dba5f650a,
title = "Energy-optimal steering of transitions through a fractal basin boundary.",
abstract = "We study fluctuational transitions in a discrete dy- namical system having two co-existing attractors in phase space, separated by a fractal basin boundary. It is shown that transitions occur via a unique ac- cessible point on the boundary. The complicated structure of the paths inside the fractal boundary is determined by a hierarchy of homoclinic original sad- dles. By exploiting an analogy between the control problem and the concept of an optimal fluctuational path, we identify the optimal deterministic control function as being equivalent to the optimal fluctu- ational force obtained from a numerical analysis of the fluctuational transitions between two states.",
author = "Silchenko, {A. N.} and S. Beri and Luchinsky, {D. G.} and McClintock, {Peter V. E.}",
note = "{"}{\textcopyright}2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.{"} {"}This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.{"}",
year = "2004",
month = oct,
day = "14",
language = "English",
isbn = "0-7803-7939-X",
volume = "2",
pages = "501--506",
booktitle = "International Proceedings of Conference on Physics and Control, PHYSCON-2003",
publisher = "IEEE",

}

RIS

TY - CHAP

T1 - Energy-optimal steering of transitions through a fractal basin boundary.

AU - Silchenko, A. N.

AU - Beri, S.

AU - Luchinsky, D. G.

AU - McClintock, Peter V. E.

N1 - "©2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE." "This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder."

PY - 2004/10/14

Y1 - 2004/10/14

N2 - We study fluctuational transitions in a discrete dy- namical system having two co-existing attractors in phase space, separated by a fractal basin boundary. It is shown that transitions occur via a unique ac- cessible point on the boundary. The complicated structure of the paths inside the fractal boundary is determined by a hierarchy of homoclinic original sad- dles. By exploiting an analogy between the control problem and the concept of an optimal fluctuational path, we identify the optimal deterministic control function as being equivalent to the optimal fluctu- ational force obtained from a numerical analysis of the fluctuational transitions between two states.

AB - We study fluctuational transitions in a discrete dy- namical system having two co-existing attractors in phase space, separated by a fractal basin boundary. It is shown that transitions occur via a unique ac- cessible point on the boundary. The complicated structure of the paths inside the fractal boundary is determined by a hierarchy of homoclinic original sad- dles. By exploiting an analogy between the control problem and the concept of an optimal fluctuational path, we identify the optimal deterministic control function as being equivalent to the optimal fluctu- ational force obtained from a numerical analysis of the fluctuational transitions between two states.

M3 - Chapter

SN - 0-7803-7939-X

VL - 2

SP - 501

EP - 506

BT - International Proceedings of Conference on Physics and Control, PHYSCON-2003

PB - IEEE

CY - New York

ER -