Distinctive roles of hysteresis, amplitude death and oscillation death in generating fast-slow phenomena in parametrically and externally excited systems

Abstract OPCL Coupling of Integer-order and fractional-order Sprott-A systems using oﬀ-shelf components are constructed. Fractance conﬁgurations such as chain-type and tree-type were designed using a fractional-order capacitor and fractional-order resistor, respectively. The simulation results of the coupled circuits reveal the transition between complete synchronization (CS) to Anti-synchronization (AS) and vice versa via Amplitude death (AD).

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Effects of frequency mismatch on amplitude death in delay-coupled oscillators

Physical Review E ◽

10.1103/physreve.104.054207 ◽

2021 ◽

Vol 104 (5) ◽

Author(s):

Shinsuke Mizukami ◽

Keiji Konishi ◽

Yoshiki Sugitani ◽

Takahiro Kouda ◽

Naoyuki Hara

Keyword(s):

Coupled Oscillators ◽

Amplitude Death ◽

Frequency Mismatch

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Mitigation of Thermoacoustic Instability Through Amplitude Death: Model and Experiments

Sustainable Development for Energy, Power, and Propulsion - Green Energy and Technology ◽

10.1007/978-981-15-5667-8_12 ◽

2020 ◽

pp. 287-322 ◽

Cited By ~ 1

Author(s):

Sirshendu Mondal ◽

Nevin Thomas

Keyword(s):

Amplitude Death ◽

Thermoacoustic Instability

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Amplitude death in oscillators coupled by asymmetric connection delays with tree graph topology

The European Physical Journal B ◽

10.1140/epjb/e2020-10018-5 ◽

2020 ◽

Vol 93 (7) ◽

Author(s):

Yuki Okigawa ◽

Yoshiki Sugitani ◽

Keiji Konishi

Keyword(s):

Tree Graph ◽

Amplitude Death ◽

Graph Topology ◽

Asymmetric Connection

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Control of amplitude death by coupling range in a network of fractional-order oscillators

International Journal of Modern Physics B ◽

10.1142/s0217979220503038 ◽

2020 ◽

Vol 34 (31) ◽

pp. 2050303

Author(s):

Rui Xiao ◽

Zhongkui Sun

Keyword(s):

Theoretical Analysis ◽

Numerical Simulations ◽

Fractional Order ◽

Coupling Strength ◽

Low Frequency ◽

System Size ◽

Coupled Systems ◽

Amplitude Death ◽

Function Relationship ◽

The Relationship

We investigate the oscillating dynamics in a ring of network of nonlocally delay-coupled fractional-order Stuart-Landau oscillators. It is concluded that with the increasing of coupling range, the structures of death islands go from richness to simplistic, nevertheless, the area of amplitude death (AD) state is expanded along coupling delay and coupling strength directions. The increased coupling range can prompt the coupled systems with low frequency to occur AD. When system size varies, the area of death islands changes periodically, and the linear function relationship between periodic length and coupling range can be deduced. Thus, one can modulate the oscillating dynamics by adjusting the relationship between coupling range and system size. Furthermore, the results of numerical simulations are consistent with theoretical analysis.

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