Communications link failure and java.net.ConnectException: Connection timed out: connect (no replies)

Hello experts

I'm really newbie with mysql.

I got the following error:

Exception in component tMysqlInput_1
com.mysql.jdbc.exceptions.jdbc4.CommunicationsException: Communications link failure

The last packet sent successfully to the server was 0 milliseconds ago. The driver has not received any packets from the server.
...
....
...

at operations.flux_billing_paiements_0_3.Flux_Billing_Paiements.main(Flux_Billing_Paiements.java:4026)
Caused by: java.net.ConnectException: Connection timed out: connect


Now I try to run again the program and checking the number of connections I see the "connections" variable increase ...

+-------------------+-------+
| Variable_name | Value |
+-------------------+-------+
| Connections | 49984 |
| Threads_cached | 26 |
| Threads_connected | 15 |
| Threads_created | 41 |
| Threads_running | 1 |
+-------------------+-------+

mysql -e 'SHOW STATUS WHERE variable_name LIKE "Threads_%" OR variable_name = "Connections"'
+-------------------+-------+
| Variable_name | Value |
+-------------------+-------+
| Connections | 56497 |
| Threads_cached | 19 |
| Threads_connected | 22 |
| Threads_created | 41 |
| Threads_running | 1 |
+-------------------+-------+

Could be related to the error above? Do the "connections" variable reach a maxium value and then raise an error?

Thank you in advance.