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HE, DR; WANG, BH; BAUER, M; HABIP, S; KRUEGER, U; MARTIENSSEN, W; CHRISTIANSEN, B; HE, DR , NW UNIV XIAN,DEPT PHYS,XIAN 710069,PEOPLES R CHINA.
INTERACTION BETWEEN DISCONTINUITY AND NON-INVERTIBILITY IN A RELAXATION-OSCILLATOR
Source PublicationPHYSICA D
KeywordComplete Phase Locking Circle Maps Dissipative Systems v Intermittency Chaos Behavior Quasiperiodicity Transition
AbstractA sinusoidally driven relaxation oscillator is studied by investigating the underlying one dimensional phase dynamics. The map turns out to be a combination of conventional and ''inverse'' circle maps showing different types of supercritical behaviour. The critical lines in the parameter space that correspond to the parameter values where the map becomes non-invertible or discontinuous are obtained analytically. Between these critical lines the system shows either chaos (if the map is non-invertible) or complete phase locking (if the map is discontinuous). Above these two lines the mapping function is discontinuous as well as non-invertible. We report different mechanisms of the interaction between these two competing characteristics and the induced dynamical phenomena. The general idea of these descriptions should be common for a large group of relaxation oscillators and their corresponding combined circle maps.
1994
ISSN0167-2789
Volume79Issue:40943Pages:335-347
Subject AreaPhysics
Indexed BySCI
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/11827
Collection理论物理所科研产出_SCI论文
Corresponding AuthorHE, DR , NW UNIV XIAN,DEPT PHYS,XIAN 710069,PEOPLES R CHINA.
Recommended Citation
GB/T 7714
HE, DR,WANG, BH,BAUER, M,et al. INTERACTION BETWEEN DISCONTINUITY AND NON-INVERTIBILITY IN A RELAXATION-OSCILLATOR[J]. PHYSICA D,1994,79(40943):335-347.
APA HE, DR.,WANG, BH.,BAUER, M.,HABIP, S.,KRUEGER, U.,...&HE, DR , NW UNIV XIAN,DEPT PHYS,XIAN 710069,PEOPLES R CHINA..(1994).INTERACTION BETWEEN DISCONTINUITY AND NON-INVERTIBILITY IN A RELAXATION-OSCILLATOR.PHYSICA D,79(40943),335-347.
MLA HE, DR,et al."INTERACTION BETWEEN DISCONTINUITY AND NON-INVERTIBILITY IN A RELAXATION-OSCILLATOR".PHYSICA D 79.40943(1994):335-347.
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