Birhythmicity arises in several physical, biological, and chemical systems. Although many control schemes have been proposed for various forms of multistability, only a few exist controlling birhythmicity. In this paper we investigate the birhythmic oscillation by introducing self-feedback mechanism that incorporates variable to be controlled its canonical conjugate. Using detailed analytical treatment, bifurcation analysis, experimental demonstrations, establish technique is capable...

We show that amplitude-mediated phase chimeras and amplitude can occur in the same network of nonlocally coupled identical oscillators. These are two different partial synchronization patterns, where spatially coherent domains coexist with incoherent coherence/incoherence refer to both or only oscillators, respectively. By changing coupling strength types chimera patterns be induced. find numerically not short-living transients but have a long lifetime. Also, we observe variants...

We explore and experimentally demonstrate the phenomena of amplitude death (AD) corresponding transitions through synchronized states that lead to AD in coupled {\it intrinsic time-delayed} hyperchaotic oscillators interacting mean-field diffusion. identify a novel synchronization transition scenario leading AD, namely among generalized anticipatory (GAS), complete (CS), lag (GLS). This is mediated by variation difference time-delays} associated with individual systems, has no analogue...

We report an interesting symmetry-breaking transition in coupled identical oscillators, namely the continuous from homogeneous to inhomogeneous limit cycle oscillations. The observed is oscillatory analog of Turing-type amplitude death (i.e., stable steady state) oscillation state). This novel occurs parametric zone occurrence rhythmogenesis and as a consequence presence local filtering coupling path. consider paradigmatic such Stuart-Landau van der Pol oscillators under mean-field with...

We report the theory and experiment of a new time-delayed chaotic (hyperchaotic) system with single scalar time delay nonlinearity described by closed form mathematical function. Detailed stability bifurcation analyses establish that suitable parameters, shows stable limit cycle through supercritical Hopf bifurcation. Numerical simulations exemplify depicts mono-scroll double-scroll chaos hyperchaos for range other parameters. Nonlinear behavior is characterized Lyapunov exponents...

We study the quantum manifestations of homogeneous and inhomogeneous oscillation suppression states in coupled identical oscillators. consider van der Pol oscillators via weighted mean-field diffusive coupling and, using formalism open systems, we show that, depending on density mean-field, two types amplitude death occurs, namely, squeezed nonsqueezed death. Surprisingly, find that state (or state) does not occur classical limit. However, deep regime discover an death-like which is...

Birhythmicity occurs in many natural and artificial systems. In this paper, we propose a self-feedback scheme to control birhythmicity. To establish the efficacy generality of proposed scheme, apply it on three birhythmic oscillators from diverse fields science, namely, an energy harvesting system, p53-Mdm2 network for protein genesis (the OAK model), glycolysis model (modified Decroly-Goldbeter model). Using harmonic decomposition technique balance method, derive analytical conditions A...

The birhythmic oscillation, generally known as birhythmicity, arises in a plethora of physical, chemical, and biological systems. In this paper we investigate the effect filtered feedback on birhythmicity both are relevant many living engineering We show that presence low-pass filter path system suppresses supports monorhythmic oscillations depending filtering parameter. Using harmonic decomposition energy balance methods determine conditions for which is removed. carry out detailed...

Mean-field diffusive coupling was known to induce the phenomenon of quenching oscillations even in identical systems, where standard (without mean-field) fails do so [Phys. Rev. E 89, 052912 (2014)]. In particular, mean-field facilitates transition from amplitude oscillation death states and onset a nontrivial state via subcritical pitchfork bifurcation. this paper, we show that an adaptive using low-pass filter both intrinsic extrinsic variables is capable inducing counterintuitive reviving...

The time-varying time-delayed (TVTD) systems attract the attention of research communities due to their rich complex dynamics and wide application potentiality. Particularly, coupled TVTD show several intriguing behaviors that cannot be observed in with a constant delay or no delay. In this context, new synchronization scenario, namely, oscillating synchronization, was reported by Senthilkumar Lakshmanan [Chaos 17, 013112 (2007)], which is exclusive time only. However, like most dynamical...

The zeros of the Husimi function provide a minimal description individual quantum eigenstates and their distribution is considerable interest. We here numerical study for pseudointegrable billiards which suggests that tend to diffuse over phase space in manner reminiscent chaotic systems but nevertheless contain subtle signature pseudointegrability. also find depend sensitively on position momentum uncertainties (Delta q Delta p, respectively) with classical correspondence best when = p...

We study the dynamic control of birhythmicity under an impulsive feedback scheme where is made ON for a certain rather small period time and rest time, it kept OFF. show that, depending on height width pulse, system can be brought to any desired limit cycles original birhythmic oscillation. derive rigorous analytical condition controlling using harmonic decomposition energy balance methods. The efficacy investigated through numerical analysis in parameter space. demonstrate robustness...

Birhythmicity is evident in many nonlinear systems, which include physical and biological systems. In some living birhythmicity necessary for response to the varying environment while unnecessary systems as it limits their efficiency. Therefore, its control an important area of research. This paper proposes a space-dependent intermittent scheme capable controlling various dynamical We apply proposed five from diverse branches natural science demonstrate that efficient enough birhythmic...