Zobrazeno 1 - 10
of 201
pro vyhledávání: '"Gade, Prashant"'
In this work, we propose a generalization to the classical logistic map. The generalized map preserves most properties of the classical map and has richer dynamics as it contains the fractional order and one more parameter. We propose the stability b
Externí odkaz:
http://arxiv.org/abs/2409.07174
Autor:
Joshi, Divya D., Gade, Prashant M.
There are few known universality classes of absorbing phase transitions in one dimension and most models fall in the well-known directed percolation (DP) class. Synchronization is a transition to an absorbing state and this transition is often DP cla
Externí odkaz:
http://arxiv.org/abs/2406.14224
Synchronization of two replicas of coupled map lattices for continuous maps is known to be in the multiplicative noise universality class. We study this transition in the presence of quenched disorder in coupling. The disorder is identical in both re
Externí odkaz:
http://arxiv.org/abs/2308.12795
Long-term memory is a feature observed in systems ranging from neural networks to epidemiological models. The memory in such systems is usually modeled by the time delay. Furthermore, the nonlocal operators, such as the "fractional order difference"
Externí odkaz:
http://arxiv.org/abs/2305.06686
Autor:
Bhalekar, Sachin, Gade, Prashant M.
We consider the stability of periodic map with period-$2$ in linear fractional difference equations where the function is $f(x)=ax$ at even times and $f(x)=bx$ at odd times. The stability of such a map for an integer order map depends on product $ab$
Externí odkaz:
http://arxiv.org/abs/2304.08208
One of the most popular methods of controlling dynamical systems is feedback. It can be used without acquiring detailed knowledge of the underlying system. In this work, we study the stability of fractional-order linear difference equations under fee
Externí odkaz:
http://arxiv.org/abs/2303.07052
Autor:
Pakhare, Sumit S., Daftardar-Gejji, Varsha, Badwaik, Dilip S., Deshpande, Amey, Gade, Prashant M.
Publikováno v:
Chaos, Solitons & Fractals 135 (2020): 109770
Dynamical behaviour of discrete dynamical systems has been investigated extensively in the past few decades. However, in several applications, long term memory plays an important role in the evolution of dynamical variables. The definition of discret
Externí odkaz:
http://arxiv.org/abs/2208.12910
Autor:
Pakhare, Sumit S., Gade, Prashant M.
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation 85 (2020): 105247
We study coupled Gauss maps in one dimension and observe a transition to band periodic state with 2 bands. This is a periodic state with period-2 in a coarse-grained sense. This state does not show any long-range order in space. We compute two differ
Externí odkaz:
http://arxiv.org/abs/2208.12474
We study the fractional maps of complex order, $\alpha_0e^{i r \pi/2}$ for $0<\alpha_0<1$ and $0\le r<1$ in 1 and 2 dimensions. In two dimensions, we study H{\'e}non and Lozi map and in $1d$, we study logistic, tent, Gauss, circle, and Bernoulli maps
Externí odkaz:
http://arxiv.org/abs/2208.11369
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation November 2024 138
