This book is devoted to bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types. That is, those with jumps present either in the right-hand-side or in
These equations49,50 are employed to obtain the optimal weights used for aggregation at the federated server or global model. The pseudocode for the proposed model that executes for the ith the client is represented in algorithm1. Scientific Reports | (2024) 14:2046 | https://doi.org/...
These primitives are based on autonomous nonlinear differential equations whose temporal evolution creates smooth kinematic control policies. Therefore they have the flexibility to capture both discrete and rhythmic movements. However, motion primitives overall are disconnected from the environment interactions....
The first group of equations mainly refers to the different component of aggregate demand, which are consumption (3.2), investment (3.3) and durables (3.5) and to their determinants, along with the expectation Eq. (3.1). In addition, there is Eq. (3.4) for the capital/output ratio (vt)...
Applications are also presented to scalar retarded functional differential equations modeling one species population growth. Introduction Persistence (or permanence) is an important property of dynamical systems and of the systems in ecology, epidemics etc., they are modeling. Persistence addresses the ...
Equations (1)–(6) and Supplementary Fig. 3 illustrate a stepwise simulation process of RF signals from a microsensor system utilizing backscattering modulation, where the RF transceiver hub emits a continuous carrier wave as $${x}_{\rm{c}}\!\left(t\right)=\mathrm{Re}\left[{A}_{\rm{...
The problem itself is cross-disciplinary: the autonomous intersection is a multiagent system, subjected to asynchronous communication broadcasts, where nonlinear equations govern the agents’ dynamics. Traditional nonlinear systems theory is required for the design of the low-level feedback control laws ...
(1) Equations (1) define the feasible set for path flows and link flows, denoted by Ω and ΩV, respectively. Assume there are totally cordons in the network, and all the entry links to cordon , = 1, 2, . . . , , are charging with the same toll fare denoted by . The toll ...
Elaydi and Yakubu showed that a globally asymptotically stable(GAS) periodic orbit in an autonomous difference equation must in fact be a fixed point whenever the phase space is connected. In this paper we extend this result to periodic nonautonomous difference equation...
The interaction time τ is indicated in the figure and assumed equal for the two reservoirs. "Heisenberg–Langevin equations for the quantum heat engine" , we develop a more detailed quasiclassical model based on Heisenberg–Langevin equations to describe the intricate dynamics of the QHE. We...