Now showing items 1-17 of 17

    • A family of multimodal dynamic maps 

      Campos Cantón, Eric; Femat Flores, Alejandro Ricardo; Pisarchik, Alexander N (2011)
      "We introduce a family of multimodal logistic maps with a single parameter. The maps domain is partitioned in subdomains according to the maximal number of modals to be generated and each subdomain contains one logistic ...
    • Bistable behavior via switching dissipative systems with unstable dynamics and its electronic design 

      Gilardi Velázquez, Héctor Eduardo; Escalante González, Rodolfo de Jesús; Campos Cantón, Eric (International Federation of Automatic Control, 2018)
      "In this work we present a design of a bistable system and its electronic circuit which is generated by a switching system. The switching system is comprised by dissipative subsystems with unstable dynamics based on the ...
    • Chaotic attractors based on unstable dissipative systems via third-order differential equation 

      Campos Cantón, Eric (2016)
      "In this paper, we present an approach how to yield 1D, 2D and 3D-grid multi-scroll chaotic systems in R3 based on unstable dissipative systems via third-order differential equation. This class of systems is constructed ...
    • Conditions for synchronization and chaos in networks of β-cells 

      Van De Weem, Joris M W; Barajas Ramírez, Juan Gonzalo; Femat Flores, Alejandro Ricardo; Nijmeijer, Henk (2009)
      "The insulin producing and releasing pancreatic β-cells play a key role in glucose homeostasis. The proper function of these cells is characterized by a spiking-bursting activity in their membrane potential. It is known ...
    • Dynamics of Multimodal Families of m-Modal Maps 

      González Salas, Javier Salvador; Cassal Quiroga, Bahia Betzavet; Tuxpan Vargas, José; Campos Cantón, Eric (Hindawi, 2022)
      "In this work, we introduce families of multimodal maps based on logistic map, i.e., families of m-modal maps are defined on an interval I C R, which is partitioned into non-uniform subdomains, with m E N. Because the ...
    • Electronic implementation dataset to monoparametric control the number of scrolls generated 

      Echenausía Monroy, José Luis; García López, Juan Hugo; Jaimes Reátegui, Rider; Huerta Cuellar, Guillermo (Elsevier, 2020)
      "The increasing usage of chaotic systems in the development of security systems, from mobile surveillance devices to the implementation of secure communication systems, leads to devising analog electronic implementations ...
    • Electronic implementation of a dynamical network with nearly identical hybrid nodes via unstable dissipative systems 

      Anzo Hernández, Andrés; García Martínez, Moises; Campos Cantón, Eric; Ontañón García Pimentel, Luis Javier (Elsevier, 2019)
      "This work addresses a circuit architecture for a dynamical network composed of a type of chaotic hybrid oscillator based on Unstable Dissipative Systems (UDS). Implementing that system reveals the possibility of selecting ...
    • Forced synchronization of autonomous dynamical Boolean networks 

      Rivera Durón, Roberto Rafael; Campos Cantón, Eric; Campos Cantón, Isaac; Gauthier, Daniel; 000 (2015)
      "We present the design of an autonomous time-delay Boolean network realized with readily available electronic components. Through simulations and experiments that account for the detailed nonlinear response of each circuit ...
    • Generation of Dynamical S-Boxes for Block Ciphers via Extended Logistic Map 

      Cassal Quiroga, Bahia Betzavet; Campos Cantón, Eric (Hindawi, 2020)
      "In this work, we present a simple algorithm to design n X n-bits substitution boxes (S-boxes) based on chaotic time series of the logistic map for different carrying capacities. The use of different carrying capacities ...
    • Generation of multi-scroll attractors without equilibria via piecewise linear systems 

      Escalante González, Rodolfo de Jesús; Campos Cantón, Eric; Nicol, Matthew (2017-05)
      "In this paper, we present a new class of dynamical system without equilibria which possesses a multiscroll attractor. It is a piecewise-linear system which is simple, stable, displays chaotic behavior and serves as a model ...
    • Itinerary synchronization between PWL systems coupled with unidirectional links 

      Anzo Hernández, Andrés; Campos Cantón, Eric; Nicol, Matthew (2019)
      "In this paper the collective dynamics of N-coupled piecewise linear (PWL) systems with different number of scrolls is studied. The coupling is in a master-slave sequence configuration, with this type of coupling we ...
    • Itinerary synchronization between PWL systems coupled with unidirectional links 

      Anzo Hernández, Andrés; Campos Cantón, Eric; Nicol, Matthew (Elsevier, 2019)
      "In this paper the collective dynamics of N-coupled piecewise linear (PWL) systems with different number of scrolls is studied. The coupling is in a master-slave sequence configuration, with this type of coupling we ...
    • Multiscroll attractors by switching systems 

      Campos Cantón, Eric; Barajas Ramírez, Juan Gonzalo; Solís Perales, Gualberto Celestino; Femat Flores, Alejandro Ricardo (2010)
      "In this paper, we present a class of three-dimensional dynamical systems having multiscrolls which we call unstable dissipative systems (UDSs). The UDSs are dissipative in one of its components but unstable in the other ...
    • Multistability in piecewise linear systems versus eigenspectra variation and round function 

      Gilardi Velázquez, Héctor Eduardo; Ontañón García Pimentel, Luis Javier; Hurtado RodrÍguez, Diana Graciela; Campos Cantón, Eric (2017)
      "A multistable system generated by Piecewise Linear (PWL) subsystems based on the jerk equation is presented. The system’s behavior is characterized by means of the Nearest Integer or the round(x) function to control the ...
    • Opamp-based synthesis of a fractional order switched system 

      Zambrano Serrano, Ernesto; Muñoz Pacheco, Jesús Manuel; Campos Cantón, Eric (2016)
      "The analysis, design and circuit synthesis of a fractional order switched system is presented in this paper. That system is capable of showing chaotic oscillations with a fractional order less than three, i.e., 2.4. The ...
    • Preservation of a two-wing Lorenz-like attractor with stable equilibria 

      Ontañón García Pimentel, Luis Javier; Campos Cantón, Eric (2013)
      "In this paper, we present the preservation of a two-wing Lorenz-like attractor when in the Lorenz system a feedback control is applied, making two of its equilibria a sink. The forced system is capable of generating ...
    • Widening of the basins of attraction of a multistable switching dynamical system with the location of symmetric equilibria 

      Ontañón García Pimentel, Luis Javier; Campos Cantón, Eric (2017)
      "A switching dynamical system by means of piecewise linear systems in that presents multistability is presented. The flow of the system displays multi-scroll attractors due to the unstable hyperbolic focus-saddle equilibria ...