Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Vaidya, Prabhakar G."'
Autor:
S, Sajini Anand P, Vaidya, Prabhakar G
The paper introduces a novel topological method for prediction and modeling for a nonlinear time--series that exhibit recurring patterns. According to the model, global manifold of the reconstructed state--space can be approximated by a few overlappi
Externí odkaz:
http://arxiv.org/abs/1711.06825
Autor:
Vaidya, Prabhakar G.
Chaos is popularly associated with its property of sensitivity to initial conditions. In this paper we will show that there can be a flip side to this property which is quite fascinating and highly useful in many applications. As a result, we can mix
Externí odkaz:
http://arxiv.org/abs/0905.0212
Publikováno v:
European Physical Journal Special Topics, Vol. 165, pp. 73--83, 2008
Grebogi, Ott and Yorke (Phys. Rev. A 38(7), 1988) have investigated the effect of finite precision on average period length of chaotic maps. They showed that the average length of periodic orbits ($T$) of a dynamical system scales as a function of co
Externí odkaz:
http://arxiv.org/abs/0811.1823
Autor:
Nagaraj, Nithin, Vaidya, Prabhakar G.
In this paper, multiplexing of discrete chaotic signals in the presence of noise is investigated. Existing methods are based on chaotic synchronization which is susceptible to noise and parameter mismatch. Furthermore, these methods fail for multiple
Externí odkaz:
http://arxiv.org/abs/0810.5221
Autor:
Nagaraj, Nithin, Vaidya, Prabhakar G.
In this letter, we prove that the perfectly secure One-Time Pad (OTP) encryption can be seen as finding the initial condition on the binary map under a random switch based on the perfectly random pad. This turns out to be a special case of Grangetto'
Externí odkaz:
http://arxiv.org/abs/0803.0046
Singular Value Decomposition (SVD) is a powerful tool in linear algebra.We propose an extension of SVD for both the qualitative detection and quantitative determination of nonlinearity in a time series. The paper illustrates nonlinear SVD with the he
Externí odkaz:
http://arxiv.org/abs/0711.4910
We have recently established a strong connection between the Tent map (also known as Generalized Luroth Series or GLS which is a chaotic, ergodic and lebesgue measure preserving non-linear dynamical system) and Arithmetic coding which is a popular so
Externí odkaz:
http://arxiv.org/abs/0709.1545
We propose a framework for joint entropy coding and encryption using Chaotic maps. We begin by observing that the message symbols can be treated as the symbolic sequence of a discrete dynamical system. For an appropriate choice of the dynamical syste
Externí odkaz:
http://arxiv.org/abs/nlin/0608051
A 1-dimensional generalization of the well known Logistic Map is proposed. The proposed family of maps is referred to as the B-Exponential Map. The dynamics of this map are analyzed and found to have interesting properties. In particular, the B-Expon
Externí odkaz:
http://arxiv.org/abs/cs/0607069