[图书][B] Formal methods for discrete-time dynamical systems

C Belta, B Yordanov, EA Gol - 2017 - Springer
… With the development and integration of cyber-physical and safety-critical systems, there
is an increasing need for computational tools for verification and control of complex systems

[图书][B] Discrete-time and discrete-space dynamical systems

K Zhang, L Zhang, L Xie - 2020 - Springer
… any restriction on the system maps and therefore the focus is on the spaces. In this book,
such dynamical systems are called discrete-time and discrete-space dynamical systems. What …

[图书][B] Economic dynamics in discrete time

J Miao - 2020 - books.google.com
… can find a simple dynamical system that is topologically equivalent to a complicated dynamical
system, we only need to focus on the study of the simple dynamical system. For example, …

Formalism for discrete multidimensional dynamic systems

JC Micó, A Caselles, D Soler, PD Romero - Kybernetes, 2016 - emerald.com
… given by an equation suitable for simulating discrete systems with space-time variation in …
dynamical models of discrete complex systems, such as the social systems and ecosystems…

[PDF][PDF] Complex dynamic behaviors of a discrete-time predator-prey system

M Zhao, C Li, J Wang - J. Appl. Anal. Comput, 2017 - jaac-online.com
… The dynamics of a discrete-time predator-prey system is investigated in detail in this paper.
It is shown that the system … , but also to exhibit the complex dynamical behaviors, such as the …

Optimal control of complex systems through variational inference with a discrete event decision process

W Dong, B Liu, F Yang - arXiv preprint arXiv:1905.02606, 2019 - arxiv.org
… To capture the complex system dynamics, we formulate the complex social network decision
making problem as a discrete event … , leading to more accurate dynamics modeling. …

[图书][B] Dynamic mode decomposition: data-driven modeling of complex systems

… Data-driven dynamical systems is a burgeoning field—it connects how … dynamical systems
and/or complex systems can be used with well-established methods in dynamical systems

Using discrete systems to exhaustively characterize the dynamics of an integrated ecosystem

C Gaucherel, F Pommereau - Methods in Ecology and …, 2019 - Wiley Online Library
… These differences therefore make our model difficult to compare to existing models. For
example, a predator–prey model would focus only on one ecosystem state of the dynamics

[HTML][HTML] The digital twin of discrete dynamic systems: Initial approaches and future challenges

R Ganguli, S Adhikari - Applied Mathematical Modelling, 2020 - Elsevier
… twins of discrete dynamic systems, as many physical systems can be … (DOF) system and then
extend the concept to systems with … and can be extended to more complex systems. As the …

Complex dynamic behaviors of a discrete predator–prey model with stage structure and harvesting

B Chen, J Chen - International Journal of Biomathematics, 2017 - World Scientific
… We prove that this discrete model possesses the flip bifurcation and Neimark–Sacker
bifurcation. The rest of this paper is organized as follows: we deal with the existence, stability, non-…