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INTERACTION BETWEEN DISCONTINUITY AND NON-INVERTIBILITY IN A RELAXATION-OSCILLATOR
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.
1994
发表期刊PHYSICA D
ISSN0167-2789
卷号79期号:40943页码:335-347
摘要A 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.
部门归属CHINA CTR ADV SCI & TECHNOL,WORLD LAB,BEIJING 100080,PEOPLES R CHINA; ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA; UNIV SCI & TECHNOL CHINA,DEPT MODERN PHYS,HEFEI 230026,PEOPLES R CHINA; UNIV FRANKFURT,INST PHYS,W-6000 FRANKFURT 1,GERMANY; UNIV COPENHAGEN,HC ORSTED INST,PHYS LAB,DK-2100 COPENHAGEN O,DENMARK
关键词Complete Phase Locking Circle Maps Dissipative Systems v Intermittency Chaos Behavior Quasiperiodicity Transition
学科领域Physics
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收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/11827
专题理论物理所SCI论文
通讯作者HE, DR , NW UNIV XIAN,DEPT PHYS,XIAN 710069,PEOPLES R CHINA.
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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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