We investigate the dynamical evolution of Stuart-Landau oscillators globally coupled through conjugate or dissimilar variables on simplicial complexes. report a first-order explosive phase transition from an oscillatory state to oscillation death, with higher-order (2-simplex triadic) interactions, as opposed second-order only pairwise (1-simplex) interactions. Moreover, system displays four distinct homogeneous steady states in presence triadic contrast two observed dyadic calculate...

Higher-order interactions have been instrumental in characterizing the intricate complex dynamics a diverse range of large-scale systems. Our study investigates effect attractive and repulsive higher-order globally non-locally coupled prey–predator Rosenzweig–MacArthur Such lead to emergence spatiotemporal chimeric states, which are otherwise unobserved model system with only pairwise interactions. exhibits second-order transition from chimera-like state (mixture oscillating steady nodes)...

Abstract We report the occurrence of an explosive death transition for first time in ensemble identical limit cycle and chaotic oscillators coupled via mean–field diffusion. In both systems, variation normalized amplitude with coupling strength exhibits abrupt irreversible to state from oscillatory this order phase is independent size system. This quite general has been found all systems where in–phase oscillations co–exist a dependent homogeneous steady state. The backward point calculated...

Many biological and chemical systems exhibit collective behavior in response to the change their population density. These elements or cells communicate with each other via dynamical agents signaling molecules. In this work, we explore dynamics of nonlinear oscillators, specifically Stuart-Landau oscillators Rayleigh interacting globally through surrounding environment modeled as a quorum sensing interaction. The system exhibits typical continuous second-order transition from oscillatory...

We investigate the nature of transition to synchronization and death states in nonidentical Stuart-Landau oscillators adaptively coupled with pairwise higher-order interactions. Our findings reveal that globally interactions exhibit asynchronous oscillations. In contrast, systems a continuous synchronization. Introducing adaptation results an explosive Furthermore, when system is both interactions, leads For higher values coupling strength, also exhibits state. Extending our analysis random...

We report the emergence of stable amplitude chimeras and chimera death in a two-layer network where one layer has an ensemble identical nonlinear oscillators interacting directly through local coupling indirectly dynamic agents that form second layer. The nonlocality interaction among dynamical induces different types related states first developed them are found to be extremely stable, while prevalent for increased strengths. results presented system coupled Stuart-Landau can general...

We report the emergence of an explosive death transition in a network identical oscillators interacting to other through nonlocal coupling presence common environment. This has abrupt and irreversible characteristic parameter space which been signature first order phase transition. For similar scheme, both ensemble chaotic periodic showed qualitatively kind transition, hence making it universal The details along with dependence environmental on this first-order like is also discussed.

We study the dynamics of nonlinear oscillators coupled through environmental diffusive coupling. The interaction between dynamical systems is maintained its agents which, in turn, interact globally with each other common environment. show that this form coupling scheme can induce an important transition like phase-flip as well transitions among oscillation quenching states identical limit-cycle oscillators. This behavior analyzed parameter plane by analytical and numerical studies specific...

Abstract We study the dynamics of a ring patches with vegetation–prey–predator populations, coupled through interactions Lotka–Volterra type. find that system yields aperiodic, recurrent and rare explosive bursts predator density in few isolated spatial from time to time. Further, global biomass also exhibits sudden uncorrelated occurrences large deviations mean as evolves. The maximum value population patch, well biomass, increases coupling strength. These trends are further corroborated by...

Coupled limit cycle oscillators with pairwise interactions are known to depict phase transitions from an oscillatory state amplitude or oscillation death. This Research Letter introduces a scheme incorporate higher-order which cannot be decomposed into and investigates the dynamical evolution of Stuart-Landau under impression such coupling. We discover oscillator death through first-order (explosive) transition in single, coupling-dependent stable away origin exists isolation without being...

Tipping phenomena in complex systems represent abrupt transitions the system behavior due to incremental changes parameters. Here, we report emergence of an transition from oscillatory a death state coupled limit cycle oscillators with higher-order repulsive interactions. This contrasts typical continuous observed pairwise links. It is notable that interactions introduce more complexity dynamics, thereby leading at lower coupling strengths compared systems. Importantly, there exists sudden...

A field experiment was conducted in the Department of Horticulture, Janta College Bakewar, Etawah (C.S.J.M. University, Kanpur) during 2013-14, to evaluate integrated effect various levels organic manures and inorganic fertilizers on growth, yield attributes Radish cv. Kalyanpur Safed. 10 treatments were taken up along with control. Plant height, number leaves, length width leaf area at growth stages increased increasing as compared Length root, diameters weight root leaf, total plant-1,...

We present a study on the emergence of variety spatio temporal patterns among neurons that are connected in multiplex framework, with two layers different functional couplings. With Hindmarsh-Rose model for dynamics single neurons, we analyze possible each layer separately and report emergent activity like in-phase synchronized oscillations amplitude death (AD) excitatory coupling anti-phase mixed-mode (MMO) multi-clusters phase regularities when connections inhibitory. When they...

The heterogeneity among interacting dynamical systems or in the pattern of interactions observed real complex systems, often lead to partially synchronized states like chimeras oscillation suppressed inhomogeneous homogeneous steady states. In such cases, recovering oscillations back is required many applications but a challenge. We present how can be restored by tuning time scales system. For this we use model multiplex network where first layer coupled oscillators multiplexed with an...

We demonstrate a data-driven technique for adaptive control in dynamical systems that exploits the reservoir computing method. show computer can be trained to predict system parameter from time series data. Subsequently, signal based on predicted used as feedback lead it target state. Our results controlled throughout wide range of attractor types. One set training data consisting only few corresponding known values enables our scheme an arbitrary starting any other initial attractor. In...