TY - GEN
T1 - A phase reduction method for weakly coupled stochastic oscillator systems
AU - Ichiki, Akihisa
AU - Sato, Yasuomi
PY - 2011/6/6
Y1 - 2011/6/6
N2 - We progressively propose a generalized phase reduction method for a stochastic system of weakly coupled oscillators, regardless of the noise intensity, and analyze dynamical behavior in such a system. This is because noise effects on a phase space were so far described for an uncoupled single stochastic oscillator, subjected only to weak noise. Our method is established with definition of "a phase of the distribution of state variables," rather than by defining distributions on a phase space. The stochastic system of weakly coupled oscillators can then be reduced straightforward to one dimensional phase dynamics. It is also confirmed that our method can be applied into the deterministic system without any noise intensity.
AB - We progressively propose a generalized phase reduction method for a stochastic system of weakly coupled oscillators, regardless of the noise intensity, and analyze dynamical behavior in such a system. This is because noise effects on a phase space were so far described for an uncoupled single stochastic oscillator, subjected only to weak noise. Our method is established with definition of "a phase of the distribution of state variables," rather than by defining distributions on a phase space. The stochastic system of weakly coupled oscillators can then be reduced straightforward to one dimensional phase dynamics. It is also confirmed that our method can be applied into the deterministic system without any noise intensity.
KW - a phase reduction method
KW - noise independence
KW - stochastic oscillators
KW - weakly couplings
UR - http://www.scopus.com/inward/record.url?scp=79957813869&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79957813869&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-21105-8_30
DO - 10.1007/978-3-642-21105-8_30
M3 - Conference contribution
AN - SCOPUS:79957813869
SN - 9783642211041
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 251
EP - 259
BT - Advances in Neural Networks - 8th International Symposium on Neural Networks, ISNN 2011
T2 - 8th International Symposium on Neural Networks, ISNN 2011
Y2 - 29 May 2011 through 1 June 2011
ER -